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Finding the Fourth Proportional to 319,993.29, 441,533.01 and 206,750.43

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Solution

The fourth proportional to 319,993.29, 441,533.01 and 206,750.43 is: 285,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993.29 : 441,533.01 = 206,750.43 : x
  2. Step 2: Convert to fraction form
    319,993.29/441,533.01 = 206,750.43/x
  3. Step 3: Cross multiply
    319,993.29x = 441,533.01 × 206,750.43
  4. Step 4: Simplify right side
    319,993.29x = 91,287,139,676.69
  5. Step 5: Solve for x
    x = 91,287,139,676.69/319,993.29
  6. Step 6: Final answer
    x = 285,278.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.